4.14

Topic

Matrices Modeling Contexts

Practice by unit: Functions Involving Parameters, Vectors, and Matrices

Sub-standards

• 4.14.A.1 — Construct a model of a scenario involving transitions between two states using matrices. A contextual scenario can indicate the rate of transitions between states as percent changes. A matrix can be constructed based on these rates to model how states change over discrete intervals.
• 4.14.B.1 — Apply matrix models to predict future and past states for n transition steps. The product of a matrix that models transitions between states and a corresponding state vector can predict future states.
• 4.14.B.2 — Repeated multiplication of a matrix that models the transitions between states and corresponding resultant state vectors can predict the steady state, a distribution between states that does not change from one step to the next.